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Finding the Third Proportional to 614,022,241.50 and 1,002,536,919

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Solution

The third proportional to 614,022,241.50 and 1,002,536,919 is: 1,636,879,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,022,241.50 : 1,002,536,919 = 1,002,536,919 : x
  2. Step 2: Convert to fraction form
    614,022,241.50/1,002,536,919 = 1,002,536,919/x
  3. Step 3: Cross multiply
    614,022,241.50x = 1,002,536,919 × 1,002,536,919
  4. Step 4: Simplify right side
    614,022,241.50x = 1,005,080,273,958,012,544
  5. Step 5: Solve for x
    x = 1,005,080,273,958,012,544/614,022,241.50
  6. Step 6: Final answer
    x = 1,636,879,262.72

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.